Author(s): M. Aizenman (Chief Editor)
Publisher: Springer
Year: 2003
Language: English
Pages: 574
Energy Growth in Schrödinger's Equation with Markovian Forcing......Page 1
Super Yangian Yosp1|2 and the Universal R-matrix of Its Quantum Double......Page 30
The Statistics of the Trajectory of a Certain Billiard in a Flat Two-Torus......Page 51
Renormalization Horseshoe for Critical Circle Maps......Page 72
Holonomy and Skyrme's Model......Page 94
On the Anisotropic Walk on the Supercritical Percolation Cluster......Page 120
Symplectic Structures on Moduli Spaces of Parabolic Higgs Bundles and Hilbert Scheme......Page 146
Gaps in the Spectrum of the Maxwell Operator with Periodic Coefficients......Page 157
R-Operator, Co-Product and Haar-Measure for the Modular Double of Uqsl2,R......Page 167
Residues of q-Hypergeometric Integrals and Characters of Affine Lie Algebras......Page 193
Spectral Boundary Conditions for Generalizations of Laplace and Dirac Operators......Page 238
Critical F43,e......Page 276
Stability of Quantum Systems at Three Scales: Passivity, Quantum Weak Energy Inequalities and the Microlocal Spectrum Condition......Page 323
Well Posed Constraint-Preserving Boundary Conditions for the Linearized Einstein Equations......Page 370
Topological Field Theory Interpretation of String Topology......Page 389
Berezin Quantization and K-Homology......Page 414
Spectral Triples and Associated Connes-de Rham Complex for the Quantum SU2 and the Quantum Sphere......Page 438
Free Energy as a Dynamical Invariant or Can You Hear the Shape of a Potential?......Page 448
Asymptotic Stability of the Stationary Solution to the Compressible Navier−Stokes Equations in the Half Space......Page 474
Remarks on the Helicity of the 3-D Incompressible Euler Equations......Page 492
Strange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations......Page 499
Ruelle Inequality Relating Entropy, Folding Entropy and Negative Lyapunov Exponents......Page 520
Classification of Harish-Chandra Modules over the Higher Rank Virasoro Algebras......Page 528
Duality of Orthogonal and Symplectic Matrix Integrals and Quaternionic Feynman Graphs......Page 541
